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What does tradable asset mean?Yes, my first thought was cash but I removed it. What is cash? If you think of physical notes made from paper then those would not fulfill the requirements of tradable assets. So a tradable asset should be electronic at least. And in comparison to S&P futures, where would the funds for a trade in those come from? But it is clear that bank deposits imply credit risk and this limits tradability. I am no expert on these more payment and settlement related questions and open to better suggestions. It might even make a good followup question.

What to use as portfolio diversification measure?I agree with SRKX but would even go one step further. It does not make a lot of sense (at least to me) to discuss diversification unless you specify a risk measure. Then the perfectly diversified portfolio is one which minimises your particular risk measure.

Feb7

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Get distribution for aggregate loss using Monte CarloI am still not sure I understand because what you seem to want sounds somewhat unusual. Normally people fit frequency and severity and then simulate exactly to avoid doing a fit to the aggregate distribution. Why do you need a parametric representation of the aggregate losses, if you can simulate them?

Get distribution for aggregate loss using Monte CarloYour question is not clear to me, what do you want to know: 1. Do you want to know how to do a Monte-Carlo simulation given a frequency and severity distribution? 2. Do you want to know how to calibrate a specific parametric distribution to your data at hand? Or do you want to know how to choose such a parametric distribution in the first place?